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Simplifying 7(2n + 1) = 6(9n + 1) + 8 Reorder the terms: 7(1 + 2n) = 6(9n + 1) + 8 (1 * 7 + 2n * 7) = 6(9n + 1) + 8 (7 + 14n) = 6(9n + 1) + 8 Reorder the terms: 7 + 14n = 6(1 + 9n) + 8 7 + 14n = (1 * 6 + 9n * 6) + 8 7 + 14n = (6 + 54n) + 8 Reorder the terms: 7 + 14n = 6 + 8 + 54n Combine like terms: 6 + 8 = 14 7 + 14n = 14 + 54n Solving 7 + 14n = 14 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 7 + 14n + -54n = 14 + 54n + -54n Combine like terms: 14n + -54n = -40n 7 + -40n = 14 + 54n + -54n Combine like terms: 54n + -54n = 0 7 + -40n = 14 + 0 7 + -40n = 14 Add '-7' to each side of the equation. 7 + -7 + -40n = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -40n = 14 + -7 -40n = 14 + -7 Combine like terms: 14 + -7 = 7 -40n = 7 Divide each side by '-40'. n = -0.175 Simplifying n = -0.175
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